What is the Least Common Multiple of 87975 and 87984?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 87975 and 87984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87975 and 87984, than apply into the LCM equation.

GCF(87975,87984) = 9
LCM(87975,87984) = ( 87975 × 87984) / 9
LCM(87975,87984) = 7740392400 / 9
LCM(87975,87984) = 860043600

Least Common Multiple (LCM) of 87975 and 87984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87975 and 87984. First we will calculate the prime factors of 87975 and 87984.

Prime Factorization of 87975

Prime Factorization of 87984

Now multiplying the highest exponent prime factors to calculate the LCM of 87975 and 87984.

LCM(87975,87984) = 3² × 5² × 17¹ × 23¹ × 2⁴ × 13¹ × 47¹
LCM(87975,87984) = 860043600